Question

Solve the equation by completing the square. –2x2 + x = 0

Answer 1

Answer:

0 and 1/2

Step-by-step explanation:

-2x^2 + x = 0

Solving using completing the square method

dividing through by -2, we have

x^2 - x/2 = 0

evaluate (b/2)^2

= (-1/(2x2))^2 = 1/16

adding it on both sides of the equation

x^2 - x/2 + 1/16 = 0 + 1/16

the new equation is therefore:

(x - 1/4)^2 = 1/16

taking the square root on both sides

x - 1/4 = ±√1/16

x  - 1/4 = ± 1/4

therefore

x = 1/4 + 1/4 = 1/2

or

x = -1/4 + 1/4 = 0